I have a tricky natural log in front of me.
It's ln(1/x).
The reason it's tricky is because I thought that I could re-write it as ln(1)-ln(x), as per the rules of logs, but that doesn't seem to agree with my calculator. Is there a reason why?
Thanks!

And of course, log(1)= 0 so this is -ln(x). You could also have used the "power rule" to say ln(1/x)= ln(x-1)= -ln(x).

Is that what your calculator is giving you? Remember- you are supposed to be smarter than your calculator!